Definition:Ellipse/Vertex
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This page is about vertex of ellipse. For other uses, see vertex.
Definition
Let $K$ be an ellipse.
A vertex of $K$ is either of the two endpoints of the major axis of $K$.
In the above diagram, $V_1$ and $V_2$ are the vertices of $K$.
Also defined as
Some sources also classify the covertices as vertices.
That is, they define the vertices as the endpoints of both the major axis and the minor axis.
Also see
- Results about vertices of ellipses can be found here.
Linguistic Note
The plural of vertex is vertices.
The word vertex is Latin for peak, from which the irregular plural form.
Sources
- 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {IV}$. The Ellipse: $2$. To find the equation of the ellipse in its simplest form
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): ellipse
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): ellipse
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): vertex